1
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The area of smaller part between the circle $x^2+y^2=4$ and the line $x=1$ is _________ sq.units.

A

$\frac{4 \pi}{3}-\sqrt{3}$

B

$\frac{8 \pi}{3}-\sqrt{3}$

C

$\frac{4 \pi}{3}+\sqrt{3}$

D

$\frac{5 \pi}{3}+\sqrt{3}$

2
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the function $f(x)=\left\{\begin{array}{cl}\frac{\cos a x-\cos b x}{\cos c x-\cos b x} & , \text { if } x \neq 0 \\ -1 & , \text { if } x=0\end{array}\right.$ is continuous at $x=0$, then $\mathrm{a}^2, \mathrm{~b}^2, \mathrm{c}^2$ are in

A

Geometric progression

B

Arithmetic progression

C

Harmonic progression

D

Arithmetico-Geometric progression

$$ $$
3
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$ \int_0^1 \tan ^{-1} x d x= $$

A

$\frac{\pi}{4}-\log 2$

B

$\frac{\pi}{4}-\log \sqrt{2}$

C

$\frac{\pi}{4}+\log 2$

D

$\frac{\pi}{4}+\log \sqrt{2}$

4
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the truth value of the expression $[(p \vee q) \wedge(q \rightarrow r) \wedge(\sim r)] \rightarrow(p \wedge q)$ is False, then truth values of $p, q, r$ are respectively.

A

$\mathrm{T}, \mathrm{T}, \mathrm{T}$

B

$\mathrm{T}, \mathrm{F}, \mathrm{F}$

C

$F, F, F$

D

$F, T, T$

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